# User:Aldoaldoz

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“The real end of science is the honor of the human mind”

— Carl Jacobi

## Contents

## Where you can find me...[edit]

... with the same nickname:
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- - Wikipedia IT
- - Wikipedia EN
`- Youtube : Chaos theory - Langton's ant - Polygons construction - Working model of Eudoxus's Homocentric Spheres`

# My works[edit]

My works are mostly created writing programs that write bitmaps to disk, and then converted to animated gifs.

If you need some specific animation (may be I'm not able to do it...) simply ask! :-)

## Classical geometry[edit]

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- Classical compass
`Classical ruler`- Euclid Elements Book 1 Proposition 3
- Euclid Elements Book 2 Proposition 5
- Euclid Elements Book 3 Proposition 35 part a
- Euclid Elements Book 3 Proposition 35 part b
- Euclid Elements Book 3 Proposition 35 part c

- Ptolemy's theorem
- Relations between center angle, the interior angle and the exterior angle in regular polygons
- A rect angle inscribed in a circle always subtend a circle diameter

- Euclid's Tetrahedron construction: part 1, 2, 3, 4, 5
- Euclid's Octahedron construction: part 1, 2
- Euclid's Dodecahedron construction: part 1, 2
- Euclid's Icosahedron construction: part 1, 2, 3

## Regular Polygons Construction (showing animated straightedge and compass)[edit]

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## Carlyle Circle and its use[edit]

- Regular Pentagon Cosntruction (theory)
- Regular Pentagon Construction (animation)
- Regular Heptadecagon Construction (animation)
- Regular 257-gon Construction (animation)
- Regular 65537-gon First Construction Step (animation)

## Polygonal Numbers[edit]

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## Lorenzo Mascheroni's Compass Geometry[edit]

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- Mascheroni's fixed compasses
- Construcion of a: Square, Pentagon, Hexagon, Octagon, 24-gon, 120-gon
- Applying a distance on a line
- Projecting a point over a line
- Drawing of a parallel line
- Bisections: Standard method, Line bisection, Arc bisection
- Intersecions: Line-circle, Line-line
- Find the fourth proportional to three segments
- Finding the center of a circle: Mascheroni's method, Alternative method

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